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Finding the Third Proportional to 208,550 and 457,707

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Solution

The third proportional to 208,550 and 457,707 is: 1,004,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,550 : 457,707 = 457,707 : x
  2. Step 2: Convert to fraction form
    208,550/457,707 = 457,707/x
  3. Step 3: Cross multiply
    208,550x = 457,707 × 457,707
  4. Step 4: Simplify right side
    208,550x = 209,495,697,849
  5. Step 5: Solve for x
    x = 209,495,697,849/208,550
  6. Step 6: Final answer
    x = 1,004,534.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.